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| Common Fractions and Decimal Fractions | |
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| Introduction to Common Fractions and Mixed Numbers | |
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| Addition of Common Fractions and Mixed Numbers | |
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| Subtraction of Common Fractions and Mixed Numbers | |
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| Multiplication of Common Fractions and Mixed Numbers | |
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| Division of Common Fractions and Mixed Numbers | |
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| Combined Operations of Common Fractions and Mixed Numbers | |
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| Computing with a Calculator: Fractions and Mixed Numbers | |
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| Introduction to Decimal Fractions | |
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| Rounding Decimal Fractions and Equivalent Decimal and Common Fractions | |
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| Addition and Subtraction of Decimal Fractions | |
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| Multiplication of Decimal Fractions | |
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| Division of Decimal Fractions | |
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| Powers | |
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| Roots | |
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| Table of Decimal Equivalents and Combined Operations of Decimal Fractions | |
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| Computing with a Calculator: Decimals | |
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| Achievement Review- Section I | |
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| Ratio, Proportion, and Percent | |
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| Ratio and Proportion | |
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| Introduction to Percents | |
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| Basic Calculations of Percentages, Percents, and Rates | |
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| Percent Practical Applications | |
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| Direct and Inverse Proportions | |
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| Achievement Review- Section II | |
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| Linear Measurement: English and Metric | |
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| Customary (English) Units of Measure | |
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| Metric Units of Measure | |
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| Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error | |
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| Tolerance, Clearance, and Interference | |
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| Customary and Metric Steel Rules | |
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| Customary Vernier Calipers and Height Gages | |
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| Customary Micrometers | |
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| Customary and Metric Gage Blocks | |
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| Achievement Review- Section III | |
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| Fundamentals of Algebra | |
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| Symbolism and Algebraic Expressions | |
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| Signed Numbers | |
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| Algebraic Operations of Addition, Subtraction, and Multiplication | |
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| Algebraic Operations of Division, Powers, and Roots | |
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| Introduction to Equations | |
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| Solution of Equations by the Subtraction, Addition, and Division Principles of Equality | |
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| Solution of Equations by the Multiplication, Root and Power Principles of Equality | |
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| Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas | |
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| Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time | |
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| Applications of Formulas to Spur Gears | |
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| Achievement Review- Section IV | |
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| Fundamentals of Plane Geometry | |
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| Lines and Angular Measure | |
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| Protractors- Simple, Semicircular, and Vernier | |
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| Types of Angles and Angular Geometric Principles | |
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| Introduction to Triangles | |
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| Geometric Principles for Triangles and Other Common Polygons | |
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| Introduction to Circles | |
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| Arcs and Angles of Circles | |
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| Fundamental Geometric Constructions | |
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| Achievement Review- Section V | |
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| Geometric Figures, Areas and Volumes | |
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| Areas of Rectangles, Parallelograms, and Trapezoids | |
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| Areas of Triangles | |
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| Areas of Circles, Sectors, and Segments | |
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| Volumes of Prisms and Cyclinders | |
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| Volumes of Pyramids and Cones | |
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| Volumes of Spheres and Composite Solid Figures | |
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| Achievement Review- Section VI | |
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| Trigonometry | |
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| Introduction to Trigonometric Functions | |
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| Analysis of Trigonometric Functions | |
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| Basic Calculations of Angles and Sides of Right Triangles | |
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| Simple Practical Machine Applications | |
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| Complex Practical Machine Applications | |
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| The Cartesian Coordinate System | |
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| Oblique Triangles: Law of Sines and Law of Cosines | |
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| Achievement Review- Section VII | |
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| Compound Angles | |
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| Introduction to Compound Angles | |
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| Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths | |
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| Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles | |
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| Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt U | |